Installing an antenna for 1710 kHz has its own unique complications. A 1/4 wave at that frequency is about 140 feet, making a full vertical impossible for most people. Compromise on the length or polarization is therefore necessary.
Because of their proximity in frequency, almost any antenna designed for 160 meters will be usable on the top end of the AM band, with suitable adjustments to length and tuning for that frequency range.
I've actually done some experimentation on this, and research into antennas that could be adapted to 1710 AM-- particularly designs intended for 160 meters.
Quite a few of these could be adapted for 1710 AM, particularly the 160 meter types by simply lengthening the dimensions appropriately using quarter or half-wave formulas. The linear-loaded vertical is the effective equivalant to a 1/4 wave vertical, but requiring maybe only a third or less of the usual vertical space. Since there is a horizontal counterpoise, it operates sort of like a dipole or a top-fed inverted L; neither of those require a ground radial system.
Linear-loaded vertical
http://ke4uyp.tripod.com/80m_160m_Antenna.html
Half-helical with loading wire
http://www.iw5edi.com/ham-radio/?a-prac ... -metres,32
Links to many antennas
http://www.dxzone.com/catalog/Antennas/160M/index.shtml
The inverted U antenna
http://users.erols.com/k3mt/inv_u/u_160.htm
I actually got quite good results one night simply tying the two sides of an 80-meter horizontal V dipole together at the antenna tuner, operating it as a "T" against station ground (which was not extensive at all-- just one or two ground rods and a couple very, very short radials) and transmitting around 1710. Of course in that configuration, the coax also becomes part of the antenna. I was running a Johnson Valiant (150 watts) into an MFJ Versa V 3kw tuner. Reports were published from listeners about 400 miles away from me, which rather surprised me when I had been using such a jury-rigged antenna. (I was only interested in DX hobbyists, not local coverage. Local coverage was very poor considering the power level, I would start losing the signal about two miles from the QTH.)
Using that much power into an antenna tuner is troublesome at 160m, worse below it. (You can get arcing, which sounds like a clicking noise coming from inside the antenna tuner). The tuner would get awfully hot. Less power would be less of a problem. If you have an antenna analyzer and can use it to tune up the antenna and/or tuner before applying any big wattages, that would be good. It would be best to have adequately low SWR on the antenna so that you can run without any tuner, but that may be difficult to achieve with limited antenna height at that frequency range. Fifty watts or less probably wouldn't be that big of a problem, but don't use any of those tuners rated 300 watts or less unless you're running closer to QRP, maybe 20-30 watts carrier.